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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A note on generalized inverse functions


Author: Robin Harte
Journal: Proc. Amer. Math. Soc. 104 (1988), 551-552
MSC: Primary 46H05; Secondary 39B70, 47A05
MathSciNet review: 929420
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Abstract: We offer the following generalization of an observation of Graham Allen about left inverses: if the elements of a semigroup of Banach algebra elements can all be given mutually commuting generalized inverses, then they can all be given invertible generalized inverses.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0929420-8
PII: S 0002-9939(1988)0929420-8
Keywords: Generalized inverse, Banach algebra
Article copyright: © Copyright 1988 American Mathematical Society